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Finding the Fourth Proportional to 24,378, 33,643.08 and 13,768.80

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Solution

The fourth proportional to 24,378, 33,643.08 and 13,768.80 is: 19,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 33,643.08 = 13,768.80 : x
  2. Step 2: Convert to fraction form
    24,378/33,643.08 = 13,768.80/x
  3. Step 3: Cross multiply
    24,378x = 33,643.08 × 13,768.80
  4. Step 4: Simplify right side
    24,378x = 463,224,839.90
  5. Step 5: Solve for x
    x = 463,224,839.90/24,378
  6. Step 6: Final answer
    x = 19,001.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.